Final answer:
The number of teaspoons in a cup is found by multiplying the number of tablespoons in a cup (16) by the number of teaspoons in a tablespoon (3), leading to an equation t = 48C.
Step-by-step explanation:
To find out the number of teaspoons, t, in one cup, C, we can use the given conversion factors. First, we know that 1 tablespoon is equivalent to 3 teaspoons. We also know that 1 cup contains 16 tablespoons. Using these conversion factors, we can set up the following equation:
t = 3 teaspoons/tablespoon × 16 tablespoons/cup
By multiplying these values, we get:
t = 3 × 16
t = 48 teaspoons in one cup.
Therefore, the equation that represents the number of teaspoons in a cup is:
t = 48C